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Certain subordination results on the convolution of analytic functions

Sharma P., Maurya R. K.

Journal of Mathematics and Applications

2014

Vol. 37

111--118

In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].

Harmonic sums and integral representations

Sofo A.

Journal of Applied Analysis

2010

Vol. 16, nr 2

265-277

In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.